Let's look at the first equation.
3y = 5x - 1
y = 5/3 y - 1/3
This line has slope 5/3. A line perpendicular to it has slope -3/5.
The second line is y = -3/5 x + 9.
Its slope is indeed -3/5, so the second line is perpendicular to the first one.
There is an infinite number of lines perpendicular to any given line. You concluded correctly that the two lines in this problem are perpendicular based on the fact that their slopes are negative reciprocals. The second line, y = -3/5 x + 9, is only one line that is perpendicular to the first line. There is an infinite number of lines perpendicular to the first line. All the perpendicular lines have the slope -3/5 and different y-intercepts. The +9 here is just the y-intercept of this specific perpendicular line. Since there is an infinite number of y-intercepts, there is an infinite number of perpendiculars.
Hello!
Let's write this as an equation below.
310/3+d=295/d
As you can see, we can cross-multiply this proportion giving us the equation below.
310d=295(3+d)
310d= 295d+885
Now, we subtract 295d from both sides.
15d=885
Now we divide both sides of the equation by 15.
d=59
Therefore, Dana travels 59 mph.
I hope this helps!
Answer:
26.55
Step-by-step explanation:
use the b^2 equation
------------------------
b^2 = 31 squared - 16 squared.
b^2 = 705
b=
b=26.5518361
Answer:
22cm
Step-by-step explanation:
440÷20
Using proportions, it is found that the value of x is of x = 5, hence option A is correct.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Since the triangles are similar, the lengths are proportional. Researching the problem on the internet, we have that the proportions are given as follows:
- A side with a length of x is proportional to a side with length 25.
- A side with a length of 3 is proportional to a side with length 15.
Hence:
Simplifying the denominators:
x = 5.
More can be learned about proportions at brainly.com/question/24372153
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